We provide the main features of Lyapunov theory when it is formulated for fractional order systems. We give consistent extensions of Lyapunov, LaSalle and Chetaev classical theorems to the case of fractional order systems. We give examples to illustrate the applications of the concepts and propositions introduced.CONICYT-Chile FB009 FONDECYT 115048
In this article, a brief stability analysis of equilibrium points in nonlinear fractional order dyna...
The theory and applications of fractional calculus (FC) had a considerable progress during the last ...
Abstract. In this paper, stability of impulsive fractional-order systems is investigated. By Lyapuno...
We establish a characterization of the Lyapunov and Mittag-Leffler stability through (fractional) Ly...
Artículo de publicación ISIA new lemma for the Caputo fractional derivatives, when 0 < a < 1, is pro...
Abstract: In this paper we propose the definition of Mittag-Leffler stability and introduce the frac...
This study presents new estimates for fractional derivatives without singular kernels defined by som...
AbstractStability of fractional-order nonlinear dynamic systems is studied using Lyapunov direct met...
The aim of the present work is to generalize the contraction theory for the analysis of the converge...
Abstract: This paper addresses the stabilization issue for fractional order switching systems. Commo...
We propose a novel approach to study the asymptotic behavior of solutions to Riemann–Liouville (RL) ...
In this paper, we study the recently proposed fractional-order operators with general analytic kerne...
This paper deals with a Lyapunov characterization of the conditional Mittag-Leffler stability and co...
Abstract In this paper the synchronization of fractional-order chaotic systems and a new property of...
This paper proposes a new fractional-order approach for synchronization of a class of fractional-ord...
In this article, a brief stability analysis of equilibrium points in nonlinear fractional order dyna...
The theory and applications of fractional calculus (FC) had a considerable progress during the last ...
Abstract. In this paper, stability of impulsive fractional-order systems is investigated. By Lyapuno...
We establish a characterization of the Lyapunov and Mittag-Leffler stability through (fractional) Ly...
Artículo de publicación ISIA new lemma for the Caputo fractional derivatives, when 0 < a < 1, is pro...
Abstract: In this paper we propose the definition of Mittag-Leffler stability and introduce the frac...
This study presents new estimates for fractional derivatives without singular kernels defined by som...
AbstractStability of fractional-order nonlinear dynamic systems is studied using Lyapunov direct met...
The aim of the present work is to generalize the contraction theory for the analysis of the converge...
Abstract: This paper addresses the stabilization issue for fractional order switching systems. Commo...
We propose a novel approach to study the asymptotic behavior of solutions to Riemann–Liouville (RL) ...
In this paper, we study the recently proposed fractional-order operators with general analytic kerne...
This paper deals with a Lyapunov characterization of the conditional Mittag-Leffler stability and co...
Abstract In this paper the synchronization of fractional-order chaotic systems and a new property of...
This paper proposes a new fractional-order approach for synchronization of a class of fractional-ord...
In this article, a brief stability analysis of equilibrium points in nonlinear fractional order dyna...
The theory and applications of fractional calculus (FC) had a considerable progress during the last ...
Abstract. In this paper, stability of impulsive fractional-order systems is investigated. By Lyapuno...